Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative

被引：8

作者：

Vu, Ho ^{[1
,2
]}

Ghanbari, Behzad ^{[3
,4
]}

Ngo Van Hoa ^{[5
,6
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Danang 550000, Vietnam

[2] Duy Tan Univ, Fac Nat Sci, Danang 550000, Vietnam

[3] Kermanshah Univ Technol, Dept Engn Sci, Kermanshah, Iran

[4] Bahcesehir Univ, Fac Engn & Nat Sci, Dept Math, TR-34349 Istanbul, Turkey

[5] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[6] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 429卷

关键词：

Fuzzy fractional differential equations; The generalized Mittag-Leffler kernel; Fractional Atangana-Baleanu derivative; VALUED FUNCTIONS; CALCULUS;

D O I：

10.1016/j.fss.2020.11.017

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce a generalization of Atangana-Baleanu type fractional calculus with respect to the generalized Mittag-Leffler kernel which has been named as the generalized Atangana-Baleanu (GAB) type fractional calculus. Existence and uniqueness results for the initial value problems of fuzzy differential equations involving a GAB fractional derivative in the Caputo sense are established by employing the method of successive approximation and by means of fixed point theorems. To visualize the theoretical results, some examples and numerical simulations are given. (c) 2020 Elsevier B.V. All rights reserved.

引用

页码：1 / 27

页数：27

共 50 条

[31] Spline collocation methods for systems of fuzzy fractional differential equations
Alijani, Zahra
Baleanu, Dumitru
Shiri, Babak
Wu, Guo-Cheng
CHAOS SOLITONS & FRACTALS, 2020, 131
[32] Glucose-insulin regulatory system: Chaos control and stability analysis via Atangana-Baleanu fractal-fractional derivatives
Alhazmi, Muflih
Saber, Sayed
ALEXANDRIA ENGINEERING JOURNAL, 2025, 122 : 77 - 90
[33] Finite-time stability analysis of fractional fuzzy differential equations with time-varying delay involving the generalized Caputo fractional derivative
Phut, Lai Van
AFRIKA MATEMATIKA, 2024, 35 (03)
[34] Solving fuzzy fractional differential equations by fuzzy Laplace transforms
Salahshour, S.
Allahviranloo, T.
Abbasbandy, S.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1372 - 1381
[35] Natural convection flow of a fluid using Atangana and Baleanu fractional model
Aman, Sidra
Abdeljawad, Thabet
Al-Mdallal, Qasem
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[36] A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion
Allahviranloo, Tofigh
Noeiaghdam, Zahra
Noeiaghdam, Samad
Nieto, Juan J.
MATHEMATICS, 2020, 8 (12) : 1 - 24
[37] A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
Agarwal, Ravi P.
Baleanu, Dumitru
Nieto, Juan J.
Torres, Delfim F. M.
Zhou, Yong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 3 - 29
[38] Fractional Differential Equations Associated with Generalized Fractional Operators in Fp,ν Space
Bansal, Manish Kumar
Harjule, Priyanka
Kumar, Devendra
THAI JOURNAL OF MATHEMATICS, 2022, 20 (04): : 1669 - 1677
[39] Design of Atangana-Baleanu-Caputo fractional-order digital filter
Gupta, Anmol
Kumar, Sanjay
ISA TRANSACTIONS, 2021, 112 : 74 - 88
[40] Can we split fractional derivative while analyzing fractional differential equations?
Bhalekar, Sachin
Patil, Madhuri
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 76 : 12 - 24

← 1 2 3 4 5 →